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An Introduction to Finsler Geometry
ISBN: 9789812567932 / Angielski / Twarda / 128 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This introductory book uses the moving frame as a tool and develops Finsler geometry on the basis of the Chern connection and the projective sphere bundle. It systematically introduces three classes of geometrical invariants on Finsler manifolds and their intrinsic relations, analyzes local and global results from classic and modern Finsler geometry, and gives non-trivial examples of Finsler manifolds satisfying different curvature conditions.
This introductory book uses the moving frame as a tool and develops Finsler geometry on the basis of the Chern connection and the projective sphere bu...
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426,97 zł |
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The Geometry of Hessian Structures
ISBN: 9789812700315 / Angielski / Twarda / 260 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The geometry of Hessian structures is a fascinating emerging field of research. It is in particular a very close relative of Kahlerian geometry, and connected with many important pure mathematical branches such as affine differential geometry, homogeneous spaces and cohomology. The theory also finds deep relation to information geometry in applied mathematics. This systematic introduction to the subject first develops the fundamentals of Hessian structures on the basis of a certain pair of a flat connection and a Riemannian metric, and then describes these related fields as applications of...
The geometry of Hessian structures is a fascinating emerging field of research. It is in particular a very close relative of Kahlerian geometry, and c...
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426,97 zł |
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Geometrical Properties of Vectors and Covectors: An Introductory Survey of Differentiable Manifolds, Tensors and Forms
ISBN: 9789812700445 / Angielski / Twarda / 84 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a brief introduction to some geometrical topics including topological spaces, the metric tensor, Euclidean space, manifolds, tensors, r-forms, the orientation of a manifold and the Hodge star operator. It provides the reader who is approaching the subject for the first time with a deeper understanding of the geometrical properties of vectors and covectors. The material prepares the reader for discussions on basic concepts such as the differential of a function as a covector, metric dual, inner product, wedge product and cross product. J M Domingos received his D Phil from the...
This is a brief introduction to some geometrical topics including topological spaces, the metric tensor, Euclidean space, manifolds, tensors, r-forms,...
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317,63 zł |
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Inspired by S S Chern: A Memorial Volume in Honor of a Great Mathematician
ISBN: 9789812700612 / Angielski / Twarda / 528 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Shiing-Shen Chern (1911-2004) was one of the leading differential geometers of the twentieth century. In 1946, he founded the Mathematical Institute of Academia Sinica in Shanghai, which was later moved to Nanking. In 1981, he founded the Mathematical Sciences Research Institute (MSRI) at Berkeley and acted as the director until 1984. In 1985, he founded the Nankai Institute of Mathematics in Tianjin. He was awarded the National Medal of Science in 1975; the Wolf Prize in mathematics in 1984; and the Shaw Prize in mathematical sciences in 2004.Chern's works span all the classic fields of...
Shiing-Shen Chern (1911-2004) was one of the leading differential geometers of the twentieth century. In 1946, he founded the Mathematical Institute o...
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859,15 zł |
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Inspired by S S Chern: A Memorial Volume in Honor of a Great Mathematician
ISBN: 9789812700629 / Angielski / Miękka / 528 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Shiing-Shen Chern (1911-2004) was one of the leading differential geometers of the twentieth century. In 1946, he founded the Mathematical Institute of Academia Sinica in Shanghai, which was later moved to Nanking. In 1981, he founded the Mathematical Sciences Research Institute (MSRI) at Berkeley and acted as the director until 1984. In 1985, he founded the Nankai Institute of Mathematics in Tianjin. He was awarded the National Medal of Science in 1975; the Wolf Prize in mathematics in 1984; and the Shaw Prize in mathematical sciences in 2004.Chern's works span all the classic fields of...
Shiing-Shen Chern (1911-2004) was one of the leading differential geometers of the twentieth century. In 1946, he founded the Mathematical Institute o...
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cena:
249,93 zł |
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Differential Geometry and Physics - Proceedings of the 23th International Conference of Differential Geometric Methods in Theoretical Physics
ISBN: 9789812703774 / Angielski / Twarda / 540 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volumes provides an comprehensive review of interactions between differential geometry and theoretical physics, contributed by many leading scholars in these fields. The contributions promise to play an important role in promoting the developments in these exciting areas. Besides the plenary talks, the coverage includes: models and related topics in statistical physics; quantum fields, strings and M-theory; Yang-Mills fields, knot theory and related topics; K-theory, including index theory and non-commutative geometry; mirror symmetry, conformal and topological quantum field theory;...
This volumes provides an comprehensive review of interactions between differential geometry and theoretical physics, contributed by many leading schol...
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848,74 zł |
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Lectures on the Geometry of Manifolds
ISBN: 9789812708533 / Angielski / Twarda / 608 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The goal of this book is to introduce the reader to some of the most frequently used techniques in modern global geometry. Suited to the beginning graduate student willing to specialize in this very challenging field, the necessary prerequisite is a good knowledge of several variables calculus, linear algebra and point-set topology.The book's guiding philosophy is, in the words of Newton, that “in learning the sciences examples are of more use than precepts”. We support all the new concepts by examples and, whenever possible, we tried to present several facets of the same...
The goal of this book is to introduce the reader to some of the most frequently used techniques in modern global geometry. Suited to the beginning gra...
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1015,36 zł |
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Differential Geometry: Theory and Applications
ISBN: 9789812771469 / Angielski / Twarda / 300 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Gives the basic notions of differential geometry, such as the metric tensor, the Riemann curvature tensor, the fundamental forms of a surface, covariant derivatives, and the fundamental theorem of surface theory in a self-contained and accessible manner. This book is useful to graduate students and researchers in pure and applied mathematics.
Gives the basic notions of differential geometry, such as the metric tensor, the Riemann curvature tensor, the fundamental forms of a surface, covaria...
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624,83 zł |
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Almost Complex Homogeneous Spaces and Their Submanifolds
ISBN: 9789971503772 / Angielski / Twarda / 124 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
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369,69 zł |
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Discrete Differential Geometry
ISBN: 9783764386207 / Angielski / Miękka / 356 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Discrete differential geometry is an active mathematical terrain where differential geometry and discrete geometry meet and interact. It provides discrete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral surfaces. Current progress in this field is to a large extent stimulated by its relevance for computer graphics and mathematical physics. This collection of essays, which documents the main lectures of the 2004 Oberwolfach Seminar on the topic, as well as a number of additional contributions by key... Discrete differential geometry is an active mathematical terrain where differential geometry and discrete geometry meet and interact. It provides d... |
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155,25 zł |
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Integral Geometry and Geometric Probability
ISBN: 9780521523448 / Angielski / Miękka / 428 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Integral geometry originated with problems on geometrical probability and convex bodies. Its later developments have proved to be useful in several fields ranging from pure mathematics (measure theory, continuous groups) to technical and applied disciplines (pattern recognition, stereology). The book is a systematic exposition of the theory and a compilation of the main results in the field. The volume can be used to complement courses on differential geometry, Lie groups, or probability or differential geometry. It is ideal both as a reference and for those wishing to enter the field.
Integral geometry originated with problems on geometrical probability and convex bodies. Its later developments have proved to be useful in several fi...
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391,02 zł |
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The Mathematics of Minkowski Space-Time: With an Introduction to Commutative Hypercomplex Numbers
ISBN: 9783764386139 / Angielski / Miękka / 280 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Hyperbolic numbers are proposed for a rigorous geometric formalization of the space-time symmetry of two-dimensional Special Relativity. The system of hyperbolic numbers as a simple extension of the field of complex numbers is extensively studied in the book. In particular, an exhaustive solution of the "twin paradox" is given, followed by a detailed exposition of space-time geometry and trigonometry. Finally, an appendix on general properties of commutative hypercomplex systems with four unities is presented. Hyperbolic numbers are proposed for a rigorous geometric formalization of the space-time symmetry of two-dimensional Special Relativity. The system... |
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213,50 zł |
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Lectures on Closed Geodesics
ISBN: 9783540083931 / Angielski / Twarda / 230 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The question of existence of c10sed geodesics on a Riemannian manifold and the properties of the corresponding periodic orbits in the geodesic flow has been the object of intensive investigations since the beginning of global differential geo- metry during the last century. The simplest case occurs for c10sed surfaces of negative curvature. Here, the fundamental group is very large and, as shown by Hadamard [Had] in 1898, every non-null homotopic c10sed curve can be deformed into a c10sed curve having minimallength in its free homotopy c1ass. This minimal curve is, up to the parameterization,...
The question of existence of c10sed geodesics on a Riemannian manifold and the properties of the corresponding periodic orbits in the geodesic flow ha...
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388,20 zł |
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Introduction to Geometry of Manifolds with Symmetry
ISBN: 9780792325611 / Angielski / Twarda / 328 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. One ofthe most important features of the development of physical and mathematical sciences in the beginning of the 20th century was the demolition of prevailing views of the three-dimensional Euclidean space as the only possible mathematical description of real physical space. Apriorization of geometrical notions and identification of physical 3 space with its mathematical modellR were characteristic for these views. The discovery of non-Euclidean geometries led mathematicians to the understanding that Euclidean geometry is nothing more than one of many logically admissible geometrical...
One ofthe most important features of the development of physical and mathematical sciences in the beginning of the 20th century was the demolition of ...
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cena:
388,20 zł |
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Pfaffian Systems, K-Symplectic Systems
ISBN: 9780792363736 / Angielski / Twarda / 240 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theory of foliations and contact forms have experienced such great de- velopment recently that it is natural they have implications in the field of mechanics. They form part of the framework of what Jean Dieudonne calls "Elie Cartan's great theory ofthe Pfaffian systems," and which even nowa- days is still far from being exhausted. The major reference work is. without any doubt that of Elie Cartan on Pfaffian systems with five variables. In it one discovers there the bases of an algebraic classification of these systems, their methods of reduction, and the highlighting ofthe first...
The theory of foliations and contact forms have experienced such great de- velopment recently that it is natural they have implications in the field o...
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194,08 zł |
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An Introduction to Differential Manifolds
ISBN: 9781860943553 / Angielski / Miękka / 232 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This invaluable book, based on the many years of teaching experience of both authors, introduces the reader to the basic ideas in differential topology. Among the topics covered are smooth manifolds and maps, the structure of the tangent bundle and its associates, the calculation of real cohomology groups using differential forms (de Rham theory), and applications such as the Poincaré-Hopf theorem relating the Euler number of a manifold and the index of a vector field. Each chapter contains exercises of varying difficulty for which solutions are provided. Special features include...
This invaluable book, based on the many years of teaching experience of both authors, introduces the reader to the basic ideas in differential topolog...
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192,65 zł |
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Manifolds All of Whose Geodesics Are Closed
ISBN: 9783540081586 / Angielski / Twarda / 264 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. X 1 O S R Cher lecteur, J'entre bien tard dans la sphere etroite des ecrivains au double alphabet, moi qui, il y a plus de quarante ans deja, avais accueilli sur mes terres un general epris de mathematiques. JI m'avait parle de ses projets grandioses en promettant d'ailleurs de m'envoyer ses ouvrages de geometrie. Je suis entiche de geometrie et c'est d'elle dontje voudrais vous parler, oh certes pas de toute la geometrie, mais de celle que fait l'artisan qui taille, burine, amene, gauchit, peaufine les formes. Mon interet pour le probleme dont je veux vous entretenir ici, je le dois a un...
X 1 O S R Cher lecteur, J'entre bien tard dans la sphere etroite des ecrivains au double alphabet, moi qui, il y a plus de quarante ans deja, avais ac...
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cena:
582,32 zł |
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Tensor Geometry: The Geometric Viewpoint and Its Uses
ISBN: 9783540520184 / Angielski / Twarda / 452 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. We have been very encouraged by the reactions of students and teachers using our book over the past ten years and so this is a complete retype in TEX, with corrections of known errors and the addition of a supplementary bibliography. Thanks are due to the Springer staff in Heidelberg for their enthusiastic sup- port and to the typist, Armin Kollner for the excellence of the final result. Once again, it has been achieved with the authors in yet two other countries. November 1990 Kit Dodson Toronto, Canada Tim Poston Pohang, Korea Contents Introduction . . . . . . . . . . . . . . . . . . . . ....
We have been very encouraged by the reactions of students and teachers using our book over the past ten years and so this is a complete retype in TEX,...
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cena:
543,49 zł |
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Lie Groupoids and Lie Algebroids in Differential Geometry
ISBN: 9780521348829 / Angielski / Miękka / 344 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book provides a striking synthesis of the standard theory of connections in principal bundles and the Lie theory of Lie groupoids.
This book provides a striking synthesis of the standard theory of connections in principal bundles and the Lie theory of Lie groupoids.
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cena:
504,45 zł |
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The Global Theory of Minimal Surfaces in Flat Spaces: Lectures Given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) Held
ISBN: 9783540431206 / Angielski / Miękka / 124 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In the second half of the twentieth century the global theory of minimal surface in flat space had an unexpected and rapid blossoming. Some of the classical problems were solved and new classes of minimal surfaces found.
Minimal surfaces are now studied from several different viewpoints using methods and techniques from analysis (real and complex), topology and geometry. In this lecture course, Meeks, Ros and Rosenberg, three of the main architects of the modern edifice, present some of the more recent methods and developments of the theory. The topics include moduli, asymptotic geometry... In the second half of the twentieth century the global theory of minimal surface in flat space had an unexpected and rapid blossoming. Some of the cla...
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cena:
135,69 zł |
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